Calculating Areas of Rectangles and Squares

The video tutorial explains how to find the area of a shaded figure, which is a rectangle with a square cut out in the middle. The process involves calculating the area of the larger rectangle and then subtracting the area of the square. The rectangle has side lengths of 9 and 8, giving it an area of 72 square centimeters. The square, with side lengths of 4, has an area of 16 square centimeters. By subtracting the square's area from the rectangle's, the shaded area is determined to be 56 square centimeters.

What is the main problem discussed in the video?

• Calculating the area of a shaded figure

• Finding the perimeter of a rectangle

• Determining the volume of a cube

• Measuring the length of a diagonal

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CCSS.1.G.A.1

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What are the side lengths of the larger rectangle?

• 5 and 6

• 7 and 8

• 9 and 8

• 10 and 12

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CCSS.3.MD.C.7B

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How do you calculate the area of a rectangle?

• Subtract the side lengths

• Divide the side lengths

• Multiply the side lengths

• Add the side lengths

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CCSS.3.MD.C.7B

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What is the area of the larger rectangle?

• 90 square centimeters

• 64 square centimeters

• 72 square centimeters

• 80 square centimeters

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CCSS.3.MD.C.7B

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What is the side length of the square that is cut out?

• 3 centimeters

• 6 centimeters

• 5 centimeters

• 4 centimeters

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CCSS.3.MD.C.7B

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How do you find the area of the square?

• Divide the side length by 2

• Multiply the side length by 2

• Square the side length

• Add the side length to itself

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CCSS.3.MD.C.7B

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What is the area of the square that needs to be subtracted?

• 12 square centimeters

• 14 square centimeters

• 16 square centimeters

• 18 square centimeters

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CCSS.3.MD.C.7D

What is the first step in subtracting the square's area from the rectangle's area?

• Subtract 20 square centimeters

• Subtract 10 square centimeters

• Subtract 15 square centimeters

• Subtract 5 square centimeters

What is the final area of the shaded figure?

• 54 square centimeters

• 56 square centimeters

• 52 square centimeters

• 50 square centimeters

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How many square centimeters are left after subtracting the square's area?

• 60 square centimeters

• 62 square centimeters

• 56 square centimeters

• 58 square centimeters

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CCSS.3.MD.C.7B

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